| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1546084 | Physica E: Low-dimensional Systems and Nanostructures | 2009 | 4 Pages |
Abstract
Curie temperature TCTC of spin arrangement with arbitrary dimension was considered. We assumed that interaction of a spin with all other spins vary with a power-law decay rate in exchange integral on Heisenberg model. As a result, we found that TCTC, which was obtained from TC=λCTC=λC (λλ: mean-field coefficient and C: Curie constant), significantly depends on fractal dimension of spin arrangements D , the exchange integral and the decay constant. This semi-quantitatively explains how TCTC depends on D (1≤D≤31≤D≤3) in a universal way and also the finite size effect on TCTC in low-dimensional spin systems.
Related Topics
Physical Sciences and Engineering
Materials Science
Electronic, Optical and Magnetic Materials
Authors
Hiroyuki Mayama, Toshio Naito,